In this research, an attempt has been made to build a bridge between a machine learning
model called Least-Squares Support Vector Regression (LS-SVR) and Weighted Residual …

This work is an extended version of the ICCS 2020 conference paper [1]. The paper aims to
present an efficient numerical method to quantify the uncertainty in the solution of stochastic …

Herein, we developed and analyzed a new fractal–fractional (FF) operational matrix for
orthonormal normalized ultraspherical polynomials. We used this matrix to handle the FF …

This paper aims to develop an improved Hermite wavelet resolution method for solving
space–time-fractional partial differential equations (STFPDE). Unlike the previous wavelet …

In this article, we developed the new functional matrix of integration using the Bernoulli
wavelet and proposed a novel technique called the Bernoulli wavelet collocation method …

A high resolution wavelet collocation method based on Gegenbauer polynomials is
proposed for the solution of fourth-order time-fractional integro-differential equations …

This research study's primary goal is to create an efficient wavelet collocation technique to
resolve a kind of nonlinear fractional order systems of ordinary differential equations that …

This paper presents the innovative Taylor wavelet collocation method (TWCM) for the stiff
systems arising in chemical reactions. In this technique, first, we generated the functional …

In this paper, we present a new method for solving linear neutral delay differential equations.
We derive and illustrate the main features of this novel approach, that combines the Laplace …

Purpose The numerical solution of third-order boundary value problems (BVPs) has a great
importance because of their applications in fluid dynamics, aerodynamics, astrophysics …